Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1093.34520
He, Ji-Huan
Limit cycle and bifurcation of nonlinear problems. (English)
[J] Chaos Solitons Fractals 26, No. 3, 827-833 (2005). ISSN 0960-0779

The author considers the following nonlinear equation $$\ddot x+ x+ \varepsilon f(x,\dot x,\ddot x)= 0,\tag1$$ where the parameter $\varepsilon$ needs not to be small. The goal of the paper is to find limit cycles of (1) and bifurcation curves. To this end, the author proposes a simple but effective method.
[Messoud A. Efendiev (Berlin)]

MSC 2000:: *34C05 Qualitative theory of some special solutions of ODE
34C23 Bifurcation (periodic solutions)

Keywords: limit cycles; bifurcation curves; nonlinear problems

Cited in: Zbl 1163.34355

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]